Test1Solution

Test1Solution - 1 B M E 3 1 0 0 T e s t I N a m e : Ke ( C...

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Unformatted text preview: 1 B M E 3 1 0 0 T e s t I N a m e : Ke ( C lo s e d B o o k ) O c t o b e r 2 , 2 0 (20 points) 1. Suppose a. y +8000Y + 12 x 10"y = 624 x 10" with initial conditions ti ( 0) = 96 and y (0) = 48 x 10'. ( a ) . W r i t e t h e c h a r a c t e r i s t i c e q u a t i o n z ( ^ ^ : ^ ^ r 1 2 x ; 1 0 - ' O (h). Write the MATLAB commands necessary to solve for the roots of the characteristic equation i c e = r f c : c , c 3 (c). Given the roots are -6000 and 2000 write the natural solution (d). Find the forced response. 0 F . K 3 ) 2 X 1 0 6 V 3 K3: 52 6 2 0 `1 0 6 (e). Write the MATLAB commands necessary to solve for the unknown coefficients in the natural solution. K _ 6 p 0 ^ _ Z V ^ v e 2 - 6 O v D C^ 2 (20 points) 2. Suppose ij + 4iI + 4y = ^(t) with initial conditions y(0) = 0 and (i(0) = 0. (a). Write the characteristic equation and write the MATLAB commands necessary to solve for the roots S Z+ ^ } S r `} c) (b). Given the roots are -2, -2, write the natural solution n _ e - ? ,E ( K t } k z )n _ e - ?...
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Test1Solution - 1 B M E 3 1 0 0 T e s t I N a m e : Ke ( C...

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